Problem #12 It is projected that approximately 580,000 veterans will take advantage of the GI Bill for the 21stCentury. Boots to Books is a course for all veterans, current military members, and their familymembers, friends, and supporters. The goal of Boots to Books is to assist deployed, postdeployed,and veteran students in making a positive transition from military to civilian life or fromdeployment to postdeployment life, including the acquisition of college survival skills.Posttraumatic stress disorder (PTSD) is quite common among combat veterans. Suppose that aresearcher wants to revise the Boots to Books course in order to reduce the effects of PTSD. Sherecruits a group of combat veterans and collects data on the length of time they were in themilitary (factor A) and the potential components of the revised course (community service,physical activity, journaling, and meditation: factor B). She then assigns them one of the fourcomponents. The study will evaluate which components of the program are the most effective forreducing PTSD symptoms.The results of the hypothetical study are summarized in the following data matrix. Each cell reportsthe average (M), the total (T), and the sum of squares (SS) of the symptom score (X) on theClinician-Administered PTSD Scale (CAPS) of 10 veterans. Veterans are grouped according to thenumber of years they served in the military.FactorA: YearsinMilitary1-23-4Community PhysicalServiceActivityM = 41T = 410M = 37.5T = 375SS = 462.5M = 49.5T = 495Factor B: Program ComponentSS = 990AXB interactionWithin treatmentsTCOLI= 870SourceBetween treatmentsFactor AFactor BSS=990M = 48T = 480SS=260TCOLF890JournalingM = 43.5T = 435SS=702.5M = 46T = 460SS = 390MSTCOLF895ANOVA Tablessdf1,040.0 7500.0 1500.08.493 10.8333 0.1832.5507.5 3 169.1667 2.874,240.0 7258.8889MeditationM = 46T = 460FSS = 790M = 44.5T = 445SS = 422.5The researcher performs an analysis of variance (ANOVA) to test the hypothesis that thepopulations defined by the treatment combinations are equal. The results are presented in thefollowing ANOVA table.TCULF 905TROWF1,680TROWE1,880ΣΧ2 =163,700 ANOVA TableSSSourcedfBetween treatments 1,040.0 7Factor A500.0 1500.0Factor B32.5 3 10.8333AXB interaction507.5 34,240.0 72Within treatmentsTotal5,280.0 79Use the significance level a = 0.05 to complete the following conclusions.MSThe critical F value for factor A (years in military) is 3.97. Therefore, the main effect due to factorA isFThe critical F value for factor B (program component) is 2.73. Therefore, the main effect due tofactor B is8.490.18169.1667 2.8758.8889The critical F value for the interaction of factors A and B is 2.73. Therefore, the effect due to theinteraction of factors A and B isGiven the results of the preceding analysis, what does the researcher conclude?O Neither length of service nor program component was related to the severity of PTSDsymptoms, whether examined alone or in conjunction with the other factor.Veterans with different lengths of service had different PTSD symptom scores. By itself,the program that veterans took was not associated with differences in severity; however,length of service resulted in different degrees of PTSD symptoms depending on program.ONeither length of service nor program component was related to the severity of PTSDsymptoms when looked at alone. However, there was an interaction between the twofactors such that severity differed by program component differently depending on lengthof service (and vice versa).n² for factor A (years in military)Veterans with different lengths of service had different PTSD symptom scores. Theseverity of PTSD symptoms was unrelated to program component either by itself or inconjunction with length of service.Measure the effect size for factor A (years in military), factor B (program component), and theinteraction by computing (partial) eta squares. (Express the value of each eta square as apercent.)=n² for factor B (program component)n² for the interaction =

Given that: Source SS df MS F Between Treatments 1040 7 Factor A 500 1 500 8.49 Factor…

It is projected that approximately 580,000 veterans will take advantage of the GI Bill for the 21st Century. Boots to Books is a course for all veterans, current military members, and their family members, friends, and supporters. The goal of Boots to Books is to assist deployed, postdeployed, and veteran students in making a positive transition from military to civilian life or from deployment to postdeployment life, including the acquisition of college survival skills. Posttraumatic stress disorder (PTSD) is quite common among combat veterans. Suppose that a researcher wants to revise the Boots to Books course in order to reduce the effects of PTSD. She recruits a group of combat veterans and collects data on the length of time they were in the military (factor A) and the potential components of the revised course (community service, physical activity, journaling, and meditation: factor B). She then assigns them one of the four components. The study will evaluate which components of the program are the most effective for reducing PTSD symptoms. The results of the hypothetical study are summarized in the following data matrix. Each cell reports the average (M), the total (T), and the sum of squares (SS) of the symptom score (X) on the Clinician-Administered PTSD Scale (CAPS) of 10 veterans. Veterans are grouped according to the number of years they served in the military.

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P